Search a number
-
+
12300212003100 = 2235276139555047
BaseRepresentation
bin1011001011111101110111…
…0001000110000100011100
31121112212222220221000010020
42302333131301012010130
53103011313233044400
642054350035112140
72406442501643610
oct262773561060434
947485886830106
1012300212003100
113a1254401217a
121467a44142650
136b2b9c418cc8
14307494d49340
15164e5400a2a0
hexb2fddc4611c

12300212003100 has 144 divisors (see below), whose sum is σ = 40739055533568. Its totient is φ = 2806890312960.

The previous prime is 12300212003081. The next prime is 12300212003143. The reversal of 12300212003100 is 130021200321.

It is a super-2 number, since 2×123002120031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12300212003100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490224 + ... + 6064823.

It is an arithmetic number, because the mean of its divisors is an integer number (282910107872).

Almost surely, 212300212003100 is an apocalyptic number.

12300212003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300212003100 is an abundant number, since it is smaller than the sum of its proper divisors (28438843530468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12300212003100 is a wasteful number, since it uses less digits than its factorization.

12300212003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555684 (or 9555677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300212003100 its reverse (130021200321), we get a palindrome (12430233203421).

The spelling of 12300212003100 in words is "twelve trillion, three hundred billion, two hundred twelve million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 613 700 1050 1226 1839 2100 2452 3065 3678 4291 6130 7356 8582 9195 12260 12873 15325 17164 18390 21455 25746 30650 36780 42910 45975 51492 61300 64365 85820 91950 107275 128730 183900 214550 257460 321825 429100 643650 1287300 9555047 19110094 28665141 38220188 47775235 57330282 66885329 95550470 114660564 133770658 143325705 191100940 200655987 238876175 267541316 286651410 334426645 401311974 477752350 573302820 668853290 716628525 802623948 955504700 1003279935 1337706580 1433257050 1672133225 2006559870 2866514100 3344266450 4013119740 5016399675 5857243811 6688532900 10032799350 11714487622 17571731433 20065598700 23428975244 29286219055 35143462866 41000706677 58572438110 70286925732 82001413354 87858657165 117144876220 123002120031 146431095275 164002826708 175717314330 205003533385 246004240062 292862190550 351434628660 410007066770 439293285825 492008480124 585724381100 615010600155 820014133540 878586571650 1025017666925 1230021200310 1757173143300 2050035333850 2460042400620 3075053000775 4100070667700 6150106001550 12300212003100